Rotating Cylinder Force (IL)
Radial pressure gradient for components in an isothermal liquid network.
Description
The Rotating Cylinder Force (IL) block simulates the axial force due to the radial pressure gradient around the symmetry axis of a rotating shaft and is used in friction couplings, gear couplings, square tooth couplings and brakes. Connect this block in parallel with the Single-Acting Actuator (IL) block or the Translational Mechanical Converter (IL) block to simulate a rotating drive. The liquid density is recorded at the isothermal liquid port X. The angular velocity is supplied as a scalar to the W port. The R port is related to the piston velocity relative to the body velocity in the C port.
The angular velocity of the shaft is assumed to be constant or nearly constant, and so the fluid is assumed to rotate as a rigid body.
The centripetal force is due solely to the angular momentum of the fluid caused by the rotation of the shaft. If the contribution of static pressure in the fluid channel is discarded, the contribution of shaft rotation to the axial force is:
where
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- is the density of the liquid in port X;
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- is the angular velocity of the rotating tube, obtained as a scalar in port W;
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- is the outer radius of the piston, the value of the Piston outer radius parameters;
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- piston inner radius, value of parameter Piston inner radius;
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- fluid channel radius, value of the Fluid entry radius parameters.
Ports
Conserving
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C
—
cylinder body
translational mechanics
Details
A mechanical non-directional port related to the velocity and force of the cylinder body.
| Program usage name |
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R
—
piston
translational mechanics
Details
Mechanical non-directional port related to piston velocity and force due to pressure drop.
| Program usage name |
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X
—
port for liquid density
isothermal liquid
Details
A fluid port related to the density of the fluid. There is no mass flow through port X. Connect port X to port A of the Single-Acting Actuator (IL) block or the Translational Mechanical Converter (IL) block.
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Input
#
W
—
angular velocity, rad/s
scalar
Details
Angular velocity in rad/s, given as a scalar.
| Data types |
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| Complex numbers support |
No |
Parameters
Parameters
#
Piston outer radius —
outer radius of the piston
m | cm | ft | in | km | mi | mm | um | yd
Details
Outer radius of the piston.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
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Piston inner radius —
internal piston radius
m | cm | ft | in | km | mi | mm | um | yd
Details
Internal radius of the piston.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
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Fluid entry radius —
fluid channel radius
m | cm | ft | in | km | mi | mm | um | yd
Details
The radius of the fluid port in the cylinder body, measured from the axis of rotation. This value must be greater than or equal to Piston inner radius and less than or equal to Piston outer radius.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Actuator mechanical orientation —
piston travel direction
Pressure at A causes positive displacement of R relative to C | Pressure at A causes negative displacement of R relative to C
Details
Piston travel direction of the connected actuator unit.
Options for selection:
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`Pressure at A causes positive displacement of R relative to C' - corresponds to positive displacement, or extension of the actuator shaft when R - C is positive.
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`Pressure at A causes negative displacement of R relative to C' - corresponds to negative displacement, or retraction of the actuator shaft when R - C is positive.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |